Задача №28.17
Условие
Точка M, масса которой m, движется около неподвижного центра O под влиянием силы F, исходящей из этого центра и зависящей только от расстояния MO=r. Зная, что скорость точки v=a/r, где a — величина постоянная, найти величину силы F и траекторию точки.Решение
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1.1
1.2
1.3
1.4
1.5
2.1
2.2
2.3
2.4
2.5
2.6
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2.14
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2.25
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2.30
2.31
2.32
2.33
2.34
2.35
2.36
2.37
2.38
2.39
2.40
2.41
2.42
2.43
2.44
2.45
2.46
2.47
2.48
2.49
2.50
2.51
2.52
2.53
2.54
2.55
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
3.9
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3.17
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3.19
3.20
3.21
3.22
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3.24
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3.33
3.34
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4.1
4.2
4.3
4.4
4.5
4.6
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4.33
4.34
4.35
4.36
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4.38
4.39
4.40
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4.42
4.43
4.44
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4.49
4.50
4.51
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4.53
4.54
4.55
4.56
4.57
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4.59
4.61
4.62
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4.64
4.65
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4.74
5.1
5.2
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5.42
6.1
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9.1
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9.27
10.1
10.2
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11.1
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12.1
12.2
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13.1
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14.1
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15.1
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16.1
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16.41
17.1
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18.1
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18.41
19.1
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20.1
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22.1
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23.1
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23.31
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23.48
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23.55
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23.70
23.71
24.1
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24.31
24.34
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25.1
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26.1
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27.1
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27.32
27.33
27.34
27.35
27.36
27.37
27.38
27.39
27.40
27.41
27.42
27.43
27.44
27.45
27.46
27.47
27.48
27.49
27.50
27.51
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27.54
27.55
27.58
27.59
27.60
27.61
27.62
27.63
27.64
27.65
28.1
28.2
28.3
28.4
28.5
28.6
28.7
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28.11
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29.1
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30.1
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30.30
31.1
31.2
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31.15
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31.25
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31.34
31.35
32.1
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32.4
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32.6
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32.16
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32.24
32.25
32.26
32.27
32.28
32.29
32.30
32.31
32.32
32.33
32.34
32.35
32.36
32.37
32.38
32.39
32.40
32.41
32.42
32.43
32.44
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32.47
32.48
32.49
32.50
32.51
32.52
32.53
32.54
32.55
32.56
32.57
32.58
32.59
32.60
32.61
32.62
32.63
32.64
32.65
32.66
32.67
32.68
32.69
32.70
32.71
32.72
32.73
32.74
32.75
32.76
32.77
32.79
32.80
32.81
32.82
32.83
32.84
32.85
32.86
32.87
32.88
32.89
32.90
32.91
32.92
32.93
32.94
32.95
32.96
32.97
32.98
32.99
32.100
32.101
32.102
32.103
32.104
32.105
32.106
32.107
33.1
33.2
33.3
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33.6
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33.17
33.18
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33.20
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33.22
34.1
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34.5
34.6
34.7
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34.10
34.11
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34.31
35.1
35.2
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36.1
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37.1
37.2
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37.13
37.14
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37.41
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38.1
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38.53
39.1
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40.1
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41.1
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42.1
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43.1
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43.13
44.1
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45.3
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46.1
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47.1
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48.1
48.5
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48.48
48.49
49.1
49.2
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53.5
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54.1
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54.32
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54.35
55.2
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55.21
55.25
55.38
55.41
55.44
56.3
56.7
56.9